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Finding the Fourth Proportional to 292,413,661.20, 438,620,491.80 and 120,014,200.80

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Solution

The fourth proportional to 292,413,661.20, 438,620,491.80 and 120,014,200.80 is: 180,021,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,413,661.20 : 438,620,491.80 = 120,014,200.80 : x
  2. Step 2: Convert to fraction form
    292,413,661.20/438,620,491.80 = 120,014,200.80/x
  3. Step 3: Cross multiply
    292,413,661.20x = 438,620,491.80 × 120,014,200.80
  4. Step 4: Simplify right side
    292,413,661.20x = 52,640,687,777,879,952
  5. Step 5: Solve for x
    x = 52,640,687,777,879,952/292,413,661.20
  6. Step 6: Final answer
    x = 180,021,301.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.